Transient Response of a Periodically Supported Cylindrical Shell Immersed in a Fluid Medium

摘要

The dynamic response of a periodically simply supported, infinitely long, circular cylindrical shell to a pressure suddenly applied through the surrounding acoustic medium is investigated. The incident particle velocity is zero, and the pressure is assumed to have an harmonic spatial variation parallel to the shell axis. The exact solution is obtained by use of a Fourier integral transform, and the resulting inversion integral is evaluated by numerical and asymptotic integration. Two solutions to the same problem are obtained by using a plane and cylindrical wave approximation for the radiated field. The range of their applicability is investigated. For a steel shell in water, it is found that when the supports are placed three shell diameters apart, the use of the cylindrical wave approximation results in a 5% underestimation of the maximum deflection, while when the supports are placed one-sixth of a shell diameter apart the approximations are invalid. (Author)